Atkin-Lehner |
2+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610d |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-8339441000 = -1 · 23 · 53 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-399,5322] |
[a1,a2,a3,a4,a6] |
Generators |
[30:128:1] |
Generators of the group modulo torsion |
j |
-57848410609/68921000 |
j-invariant |
L |
4.1184239494634 |
L(r)(E,1)/r! |
Ω |
1.1847823309329 |
Real period |
R |
1.1587005877068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49610q2 |
Quadratic twists by: -11 |